Abstract
Various aspects of the influence of an external magnetic field on turbulent flow of a conducting fluid are investigated. The distributions of electric variables are determined for weak magnetic fields (both the electric field and the current have nonzero values in this case). For very strong magnetic fields it is shown that turbulent motion acquires a two-dimensional character. The emergence of an electric current component perpendicular to the flow and to the magnetic field is described in the case of a temperature-stratified medium in the presence of turbulent heat flux.
Similar content being viewed by others
References
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed. (rev. and enl., with L. P. Pitaevskii), Pergamon Press, New York (1984).
T. Cowling, Magnetohydrodynamics, Interscience, New York (1957).
B. V. Eliseev, Dokl. Akad. Nauk SSSR 161, 560 (1965) [Sov. Phys. Dokl. 10, 239 (1965)].
S. P. Pikelner, Fundamentals of Cosmic Electrodynamics, NASA, Washington, D.C. (1964).
A. L. Tseskis, Teplofiz. Vys. Temp. 33, 496 (1995).
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics [in Russian], Part I, Nauka, Moscow (1965).
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics [in Russian], Part II, Nauka, Moscow (1967).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed., Pergamon Press, New York (1987).
R. Moreau, Magn. Gidrodin., No. 4, 31 (1970).
L. G. Kit and A. B. Tsinober, Magn. Gidrodin., No. 3, 37 (1972).
R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 4, 547 (1980).
A. L. Tseskis, Zh. Éksp. Teor. Fiz. 83, 176 (1982) [Sov. Phys. JETP 56, 95(1982)].
J. Sommeria and R. Moreau, J. Fluid Mech. 118, 507 (1982).
J. Verron and J. Sommeria, Phys. Fluids 30, 732 (1987).
H. Greenspan, The Theory of Rotating Fluids, Cambridge Univ. Press, New York (1968).
A. M. Dykhne, Zh. Éksp. Teor. Fiz. 59, 110 (1970) [Sov. Phys. JETP 32, 63 (1971)].
D. A. Frank-Kamenetskii, Lectures in Plasma Physics, Atomizdat, Moscow (1968).
S. I. Vainshtein and Ya. B. Zel’dovich, Usp. Fiz. Nauk 106, 432 (1972) [Sov. Phys. Usp. 15, (1972)].
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 111, 528–535 (February 1997)
Rights and permissions
About this article
Cite this article
Bityurin, V.A., Tseskis, A.L. Distribution of the electric field and current in a turbulent conducting fluid for small magnetic Reynolds numbers. J. Exp. Theor. Phys. 84, 289–292 (1997). https://doi.org/10.1134/1.558115
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1134/1.558115